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. 2007 Dec;16(6):478–480. doi: 10.1136/qshc.2007.023465

Table 6 Smallpox, Boston 1752. Decision: inoculate or not (contd).

Expected value of leaving town  =  (probability of living) Expected value of inoculation (probability of living)
(y)(0.903)(1) + (y)(0.097)(0) + (1−y)(1)  =  0.986
(y)(0.903) + 1 − (y)  =  0.986
y  =  0.144